Ricardo runs ACT tutoring camps. He used to hold three sessions at $50 per session, but recently changed his business plan. Now, each camp consists of six sessions at $34 per session. How much money will he make per camp under his new business plan? Use the difference of two squares to find the amount. $400  • $150  $596 • $204

1 answer

To find out how much money Ricardo will make per camp under his new business plan, we can calculate the total revenue from the six sessions at $34 per session.

First, we calculate the total revenue for the new plan:

\[ \text{Total revenue} = \text{Number of sessions} \times \text{Price per session} = 6 \times 34 = 204 \]

So, Ricardo will make $204 per camp under his new business plan.

Now, let’s confirm this using the difference of two squares method; however, keep in mind this is typically used for algebraic expressions rather than straightforward calculations.

The original business model had 3 sessions at $50 each, so his original total revenue from one camp was:

\[ \text{Original Revenue} = 3 \times 50 = 150 \]

Using the difference of two squares, we can express the change in revenue:

\[ (6 \times 34) - (3 \times 50) = 204 - 150 = 54 \]

This shows the comparison but is not necessary for the revenue calculation.

Regardless, the final result remains:

Ricardo will make $204 per camp under his new business plan.